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13142178648 = 2332464339313
BaseRepresentation
bin11000011110101010…
…11011101101011000
31020220220022211220100
430033111123231120
5203403344204043
610012030255400
7643450450434
oct141725335530
936826284810
1013142178648
115634465375
122669357560
131315992891
148c95b99c4
1551db88cd3
hex30f55bb58

13142178648 has 48 divisors (see below), whose sum is σ = 35601972120. Its totient is φ = 4379671296.

The previous prime is 13142178641. The next prime is 13142178653. The reversal of 13142178648 is 84687124131.

13142178648 is a `hidden beast` number, since 1 + 314 + 217 + 86 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142178641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314640 + ... + 353952.

Almost surely, 213142178648 is an apocalyptic number.

13142178648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13142178648 is an abundant number, since it is smaller than the sum of its proper divisors (22459793472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142178648 is a wasteful number, since it uses less digits than its factorization.

13142178648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43968 (or 43961 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 13142178648 in words is "thirteen billion, one hundred forty-two million, one hundred seventy-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4643 9286 13929 18572 27858 37144 39313 41787 55716 78626 83574 111432 117939 157252 167148 235878 314504 334296 353817 471756 707634 943512 1415268 2830536 182530259 365060518 547590777 730121036 1095181554 1460242072 1642772331 2190363108 3285544662 4380726216 6571089324 13142178648